Decide whether the statement is true or false. If it is false, explain why. The union of the solution sets of 4xplus5equals13, 4xplus5greater than13, and 4xplus5less than13 is empty set

The given statement is false because it isn't an empty set!

Step-by-step explanation:

We have following sets of inequalities:

From we get ,

Therefore solution set is x=2.

Now, for we get ,  

Therefore solution set is x>2.

For we get ,

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is  -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

step-by-step explanation: